Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to various subjects, such as the theory of quadratic forms, the proof of Fermat's Last Theorem and the approximation of . The text gives a balanced overview of both the theoretical and computational sides of its subject, allowing a variety of courses to be taught from it.This second edition has been revised and updated. New material on the future of modular forms as well as a chapter about longer-form projects for students has also been added.

The eye-popping, gob-smacking, rib-tickling phenomenon that is QI serves up a brand new selection of 1,423 facts to bowl you over.

Iceland imports ice cubes

A group of ladybirds is called a loveliness

It is illegal in Saudi Arabia to name a child Sandi

Eight billion particles of fog can fit into a teaspoon

People who read books live longer than people who don't

Prince Philip was born on a kitchen table in Corfu

No human beings have ever had sex in space

Netflix's biggest competitor is sleep

Mice sigh up to 40 times an hour

This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to such diverse subjects as the theory of quadratic forms, the proof of Fermat's last theorem and the approximation of pi. It provides a balanced overview of both the theoretical and computational sides of the subject, allowing a variety of courses to be taught from it.

As the cruise industry continues to grow at a rapid pace, additional qualifications for its management personnel are becoming increasingly important. Many new ships are built each year, leaving a void in experienced personnel. The goal of this study was to implement and evaluate delivery of formal coursework to English-speaking, multicultural cruise ship personnel onboard by using emerging technologies that are available today. College-level management courses using Web 2.0 technologies were designed, delivered and evaluated. Two courses were offered each was split into two groups using different technologies. Both groups had intense, positive distant interactions with faculty and had comparable outcomes. The finding was that the cruise industry may well have developed a distinct culture is an important one that may well lead to a better understanding of acculturation. Three weeks proved an ideal length of time for students to complete the 1.5-credit courses. Dividing 4.5-credit courses into 1.5-modules proved successful. Out of the original 249 applicants, 162 students participated from 36 different countries located on 64 different ships around the world.

Joint Liturgical Studies offers a valuable contribution to the study of liturgy. Each issue considers a particular aspect of liturgical development, such as the origins of the Roman rite, Anglican Orders, welcoming the Baptised, and Anglican Missals. It is aimed at all with an academic interest in worship. It is published twice a year in partnership with the Alcuin Club, which promotes the study of Christian liturgy, and the Group for Renewal of Worship (GROW).

"They are England s most eligible bachelors, with the most scandalous reputations. But for the right woman, even an unrepentant rogue may mend his ways "

Lady Grace Mabry s ample inheritance has made it impossible for her to tell whether a suitor is in love with her or enamored of her riches. Who better to distinguish beau from blackguard than her notorious childhood friend, the Duke of Lovingdon?

With no interest in marriage, Lovingdon has long lived only for pleasure. He sees little harm in helping Grace find a proper match. He simply has to teach the lovely innocent all the ploys a scoundrel uses to gain a woman s favor by demonstrating his wicked ways. But as lessons lead to torrid passion and Grace becomes ensnared in another man s marriage plot, Lovingdon must wage a desperate gamble: open his heart fully or risk losing the woman he adores.